Answer:
9/28.26
Step-by-step explanation:
We develop two different right triangles in which the opposite side to the given angle of depression is 1500 ft and the length of the runway is the y.
(45°) --> tan (45°) = 1500 ft / y₁
y₁ = 1500 ft
(42⁰) --> tan (42⁰) = 1500 ft / y₂
y₂ = 1665.92 ft
Finding the difference between two y's, the answer would be 165.92 ft.
First, convert the percentage into a decimal by removing the % sign and dividing by 100.
40% => 0.4
The word 'of' in mathematics can mean multiplication.
0.4 * 126 = 50.4
Given:
The vertices of a right triangle are:

To find:
The length of the hypotenuse of the given right triangle.
Solution:
Let the vertices of the right triangle are
.
The distance formula is:

Using distance formula, we get





Similarly,




And,





Now, taking sum of squares of two smaller sides, we get




By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.
Therefore, the length of the hypotenuse is 10 units.
Answer:
14r−t+8w
Step-by-step explanation:
Let's simplify step-by-step.
8w+5r−t+9r
=8w+5r+−t+9r
Combine Like Terms:
=8w+5r+−t+9r
=(5r+9r)+(−t)+(8w)
=14r+−t+8w
Answer:
=14r−t+8w